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Scaling by Grigory Isaakovich Barenblatt

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Chapter 3Scaling laws and self-similar solutions that cannot be obtained by dimensional analysis

To obtain the scaling law for very intense blast wave propagation,

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G.I. Taylor, as demonstrated in the Introduction, had to replace the actual problem by an idealized one, that of a point explosion in a gas under zero pressure. In the problem of groundwater mound evolution considered in Chapter 2 we followed exactly the same method: we replaced the actual problem by an idealized one, that of infinitely concentrated instantaneous flooding with zero initial water head in the stratum. For this idealized problem we were able to demonstrate using dimensional ...

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